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Page Rank: Theory and Convergence
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Related lectures (32)
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Markov Chains: Homogeneous Processes and Stationary Distributions
Explores Markov chains, focusing on homogeneous processes and stationary distributions, with practical exercises.
Lower Bound on Total Variation Distance
Explores the lower bound on total variation distance in Markov chains and its implications on mixing time.
Markov Chains and Algorithm Applications
Covers Markov chains and their applications in algorithms, focusing on Markov Chain Monte Carlo sampling and the Metropolis-Hastings algorithm.
Ergodic Theorem: Proof and Applications
Explains the proof of the ergodic theorem and the concept of positive-recurrence in Markov chains.
Markov Chains: Applications and Sampling Methods
Covers the basics of Markov chains and their algorithmic applications.
Spectral Gap in Markov Chains
Explores the spectral gap in Markov chains and its impact on convergence speed.
Limiting Distribution and Ergodic Theorem
Explores limiting distribution in Markov chains and the implications of ergodicity and aperiodicity on stationary distributions.
Invariant Measures: Properties and Applications
Covers the concept of invariant measures in Markov chains and their role in analyzing irreducible recurrent processes.
Ergodic Theory: Markov Chains
Explores ergodic theory in Markov chains, discussing irreducibility and unique stationary distributions.
Bonus Malus System: Transition Probabilities
Explores the Bonus Malus system for insurance premiums and Markov chain transition probabilities.